Definition:Trivial Category
Jump to navigation
Jump to search
Definition
The following categories can be seen described as trivial:
Zero Catgegory
The category $\mathbf 0$, zero, is the empty category:
- $\qquad$
with:
- no objects
and consequently:
- no morphisms.
One Category
The category one $\mathbf 1$, is the category with:
Objects: | One object: $*$ | |
Morphisms: | One morphism: the identity morphism $\operatorname{id}_*$. |
Discrete Category
Let $\CC$ be a metacategory.
Then $\CC$ is said to be discrete if and only if it comprises only identity morphisms.
If the collection $\CC$ constitutes the objects of $\mathbf C$, then $\mathbf C$ may also be denoted $\map {\mathbf {Dis} } \CC$.
Also see
Sources
There are no source works cited for this page. Source citations are highly desirable, and mandatory for all definition pages. Definition pages whose content is wholly or partly unsourced are in danger of having such content deleted. To discuss this page in more detail, feel free to use the talk page. |